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Consistency Relations for Large Field Inflation

arXiv:1406.6117 · doi:10.1093/ptep/ptu123

Abstract

Consistency relations for chaotic inflation with a monomial potential and natural inflation and hilltop inflation are given which involve the scalar spectral index $n_s$, the tensor-to-scalar ratio $r$ and the running of the spectral index $α$. The measurement of $α$ with $O(10^{-3})$ and the improvement in the measurement of $n_s$ could discriminate monomial model from natural/hilltop inflation models. A consistency region for general large field models is also presented.

10 pages, 3 figures, typos corrected, a version to appear in PTEP